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Finding the Fourth Proportional to 331,530.64, 497,299.43 and 265,391.20

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Solution

The fourth proportional to 331,530.64, 497,299.43 and 265,391.20 is: 398,089.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,530.64 : 497,299.43 = 265,391.20 : x
  2. Step 2: Convert to fraction form
    331,530.64/497,299.43 = 265,391.20/x
  3. Step 3: Cross multiply
    331,530.64x = 497,299.43 × 265,391.20
  4. Step 4: Simplify right side
    331,530.64x = 131,978,894,704.56
  5. Step 5: Solve for x
    x = 131,978,894,704.56/331,530.64
  6. Step 6: Final answer
    x = 398,089.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.